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Finding the Fourth Proportional to 412.08, 568.47 and 246.24

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Solution

The fourth proportional to 412.08, 568.47 and 246.24 is: 339.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.08 : 568.47 = 246.24 : x
  2. Step 2: Convert to fraction form
    412.08/568.47 = 246.24/x
  3. Step 3: Cross multiply
    412.08x = 568.47 × 246.24
  4. Step 4: Simplify right side
    412.08x = 139,980.05
  5. Step 5: Solve for x
    x = 139,980.05/412.08
  6. Step 6: Final answer
    x = 339.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.